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Finding the Fourth Proportional to 9,413.96, 12,989.97 and 5,436.05

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Solution

The fourth proportional to 9,413.96, 12,989.97 and 5,436.05 is: 7,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.96 : 12,989.97 = 5,436.05 : x
  2. Step 2: Convert to fraction form
    9,413.96/12,989.97 = 5,436.05/x
  3. Step 3: Cross multiply
    9,413.96x = 12,989.97 × 5,436.05
  4. Step 4: Simplify right side
    9,413.96x = 70,614,061.47
  5. Step 5: Solve for x
    x = 70,614,061.47/9,413.96
  6. Step 6: Final answer
    x = 7,501.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.